TSTP Solution File: ITP035^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP035^1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 00:28:50 EDT 2022
% Result : Theorem 14.53s 14.66s
% Output : Proof 14.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 36 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 97 ( 11 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 68 ( 25 ~; 19 |; 0 &; 22 @)
% ( 0 <=>; 1 =>; 1 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 17 con; 0-2 aty)
% Number of variables : 4 ( 0 ^ 4 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
thf(conj_0,conjecture,
( ( deriv_complex @ id_complex @ w )
= one_one_complex ) ).
thf(h0,negated_conjecture,
( deriv_complex @ id_complex @ w )
!= one_one_complex,
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(ax350,axiom,
( ~ p37
| p40 ),
file('<stdin>',ax350) ).
thf(ax349,axiom,
( ~ p40
| p41 ),
file('<stdin>',ax349) ).
thf(ax354,axiom,
p37,
file('<stdin>',ax354) ).
thf(ax348,axiom,
( ~ p41
| ~ p36
| p35 ),
file('<stdin>',ax348) ).
thf(ax355,axiom,
~ p35,
file('<stdin>',ax355) ).
thf(ax5,axiom,
( ~ p3
| p374 ),
file('<stdin>',ax5) ).
thf(nax36,axiom,
( p36
<= ( fone_one_complex
= ( fderiv_complex @ fid_complex @ fw ) ) ),
file('<stdin>',nax36) ).
thf(pax374,axiom,
( p374
=> ! [X1: complex] :
( ( fderiv_complex @ fid_complex @ X1 )
= fone_one_complex ) ),
file('<stdin>',pax374) ).
thf(ax387,axiom,
p3,
file('<stdin>',ax387) ).
thf(c_0_9,plain,
( ~ p37
| p40 ),
inference(fof_simplification,[status(thm)],[ax350]) ).
thf(c_0_10,plain,
( ~ p40
| p41 ),
inference(fof_simplification,[status(thm)],[ax349]) ).
thf(c_0_11,plain,
( p40
| ~ p37 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_12,plain,
p37,
inference(split_conjunct,[status(thm)],[ax354]) ).
thf(c_0_13,plain,
( ~ p41
| ~ p36
| p35 ),
inference(fof_simplification,[status(thm)],[ax348]) ).
thf(c_0_14,plain,
( p41
| ~ p40 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_15,plain,
p40,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]) ).
thf(c_0_16,plain,
~ p35,
inference(fof_simplification,[status(thm)],[ax355]) ).
thf(c_0_17,plain,
( ~ p3
| p374 ),
inference(fof_simplification,[status(thm)],[ax5]) ).
thf(c_0_18,plain,
( ( fone_one_complex
!= ( fderiv_complex @ fid_complex @ fw ) )
| p36 ),
inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax36])]) ).
thf(c_0_19,plain,
( p35
| ~ p41
| ~ p36 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_20,plain,
p41,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]) ).
thf(c_0_21,plain,
~ p35,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_22,plain,
! [X51: complex] :
( ~ p374
| ( ( fderiv_complex @ fid_complex @ X51 )
= fone_one_complex ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax374])])]) ).
thf(c_0_23,plain,
( p374
| ~ p3 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_24,plain,
p3,
inference(split_conjunct,[status(thm)],[ax387]) ).
thf(c_0_25,plain,
( p36
| ( fone_one_complex
!= ( fderiv_complex @ fid_complex @ fw ) ) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_26,plain,
~ p36,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]),c_0_21]) ).
thf(c_0_27,plain,
! [X1: complex] :
( ( ( fderiv_complex @ fid_complex @ X1 )
= fone_one_complex )
| ~ p374 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_28,plain,
p374,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24])]) ).
thf(c_0_29,plain,
( fderiv_complex @ fid_complex @ fw )
!= fone_one_complex,
inference(sr,[status(thm)],[c_0_25,c_0_26]) ).
thf(c_0_30,plain,
! [X1: complex] :
( ( fderiv_complex @ fid_complex @ X1 )
= fone_one_complex ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28])]) ).
thf(c_0_31,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]),
[proof] ).
thf(1,plain,
$false,
inference(eprover,[status(thm),assumptions([h0])],]) ).
thf(0,theorem,
( ( deriv_complex @ id_complex @ w )
= one_one_complex ),
inference(contra,[status(thm),contra(discharge,[h0])],[1,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP035^1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jun 3 15:24:31 EDT 2022
% 0.14/0.34 % CPUTime :
% 14.53/14.66 % SZS status Theorem
% 14.53/14.66 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 14.53/14.66 % Inferences: 40
% 14.53/14.66 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------